Recoupling Matrix of Volume Operator Action on Vertex

  • We study the action of volume operator on spin network states with n-valent vertices. In particular, the recoupling matrices are re-derived by means of a graphic formulation.
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  • [1] .Penrose R.In: Quantum Theory and beyond,ed EA Bastin,CambridgeUniversity Press.19712.Rovel i C,Smolin L.Nucl.Phys.,1995,B442: 5933.Ashtekar A.Lectures on:Non-pertubative Canonical Gravity.LectureNodes Prepared in Collaboration with R.S.Tat e.Singapore:World Scientific,19914.Ezawa K.Phys.Rep.,1997,286:2715.Rovelli C.J.Math.Phys.,2000,141(6):37766.Gambini R.Int.J.Theor.Phys.,1999,(4):10637.Piet ri R D,Rovelli C.Phys.Rev.,1996,D54:2664
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SHAO Dan, SHAO Liang, SHAO Chang-Gui and CHEN Yi-Han. Recoupling Matrix of Volume Operator Action on Vertex[J]. Chinese Physics C, 2004, 28(3): 254-257.
SHAO Dan, SHAO Liang, SHAO Chang-Gui and CHEN Yi-Han. Recoupling Matrix of Volume Operator Action on Vertex[J]. Chinese Physics C, 2004, 28(3): 254-257. shu
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Received: 2003-05-01
Revised: 1900-01-01
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Recoupling Matrix of Volume Operator Action on Vertex

    Corresponding author: SHAO Dan,
  • Department of Mathematical Sciences,Ibaraki University,Mito 310-8512,Japan2 Institute of Theoretical Physics,Hubei University,Wuhan 430062,China

Abstract: We study the action of volume operator on spin network states with n-valent vertices. In particular, the recoupling matrices are re-derived by means of a graphic formulation.

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